Abstract
We give an elementary proof that for a large class ofd-dimensional finite difference operators including tight-binding models for electron propagation and models for harmonic phonons with random masses or couplings, the integrated density of states is a continuous function of the energy.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Pastur, L.: Spectral properties of disordered systems in one-body approximation. Commun. Math. Phys.75, 179 (1980)
Craig, W., Simon, B.: Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices. Commun. Math. Phys.90, 207–218 (1983)
We are glad to thank here M. Kac for this remark
Author information
Authors and Affiliations
Additional information
Communicated by B. Simon
Rights and permissions
About this article
Cite this article
Delyon, F., Souillard, B. Remark on the continuity of the density of states of ergodic finite difference operators. Commun.Math. Phys. 94, 289–291 (1984). https://doi.org/10.1007/BF01209306
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01209306